Results 71 to 80 of about 1,536 (163)
Piecewise-polynomial approximants for solutions of Functional Equations
, 2010 The aim of this paper is the analysis of an extension of collocation based numerical methods for solving Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs), which turn out to be at the heart of many modern applications of ...
Maria Ferro +3 more
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The Journal of Physiology, EarlyView.Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger +4 more
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Applications of dynamical systems with symmetry [PDF]
This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front equations.
Ashwin, Peter Brian
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On the multiple scales perturbation method for difference equations
, 2007 In the classical multiple scales perturbation method for ordinary difference equations (O Delta Es) as developed in 1977 by Hoppensteadt and Miranker, difference equations (describing the slow dynamics of the problem) are replaced at a certain moment in ...
Van Horssen, W.T. +5 more
core +1 more source
International Journal of Ceramic Engineering &Science, Volume 8, Issue 4, July 2026.Cracking in brittle TPMS structures is governed by their geometry, with cracks propagating along geodesic paths determined by the initial crack orientation. Regions with small cross‐sections and abrupt area transitions identify critical damage regions and explain the differences in compressive strength among Primitive, Gyroid, Neovius, and IWP designs.
Thi Ngoc Diep Tran +2 more
wiley +1 more source
Analysis of Hamiltonian boundary value problems and symplectic integration: a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Manawatu, New Zealand [PDF]
, 2020 Listed in 2020 Dean's List of Exceptional ThesesCopyright is owned by the Author of the thesis. Permission is given for a copy to be downloaded by an individual for research and private study only. The thesis may not be reproduced elsewhere without the
Offen, Christian
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Optimal model‐based design of experiments for parameter precision: Supercritical extraction case
The Canadian Journal of Chemical Engineering, Volume 104, Issue 7, Page 3775-3795, July 2026.Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley +1 more source
Process Mathematics: Classical Analysis Without Completed Infinity
We develop a formal framework for classical mathematical analysis in which infinity is treated as a property of processes rather than completed objects (Principle P4 of the Theory of Systems).
Horsocrates, Aleksandr
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